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Finding the Fourth Proportional to 9,555.46, 14,335.66 and 3,632.46

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Solution

The fourth proportional to 9,555.46, 14,335.66 and 3,632.46 is: 5,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.46 : 14,335.66 = 3,632.46 : x
  2. Step 2: Convert to fraction form
    9,555.46/14,335.66 = 3,632.46/x
  3. Step 3: Cross multiply
    9,555.46x = 14,335.66 × 3,632.46
  4. Step 4: Simplify right side
    9,555.46x = 52,073,711.52
  5. Step 5: Solve for x
    x = 52,073,711.52/9,555.46
  6. Step 6: Final answer
    x = 5,449.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.